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Finding the Fourth Proportional to 140,224, 193,308.16 and 86,472.94

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Solution

The fourth proportional to 140,224, 193,308.16 and 86,472.94 is: 119,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,224 : 193,308.16 = 86,472.94 : x
  2. Step 2: Convert to fraction form
    140,224/193,308.16 = 86,472.94/x
  3. Step 3: Cross multiply
    140,224x = 193,308.16 × 86,472.94
  4. Step 4: Simplify right side
    140,224x = 16,715,924,921.19
  5. Step 5: Solve for x
    x = 16,715,924,921.19/140,224
  6. Step 6: Final answer
    x = 119,208.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.